
Topics covered:
Introduction to trigonometric ratios (SOH-CAH-TOA)
Pythagoras theorem
Introduction to Sine Rule
Introduction to Cosine Rule
Practice two trig identity proofs, showing that (1−sin t)/(1+sin t) equals cos^2 t/(1+sin t) and reduces to 1−sin t, using difference of squares and the Pythagorean identity.
Solve tan x = -2 by graphing tan x and y = -2, identify x1 and x2 in -180 to 180, then use 180-degree periodicity to get -63.43° and 116.57°.
Solve trig equations using cast diagrams to identify where sine is positive, apply sine inverse to find x, and obtain two solutions—30 degrees and 150 degrees—between 0 and 360 degrees.
Explore a difficult exam style trig proof, expanding with sin squared, cos squared, and tan squared to demonstrate tan squared plus one minus cos squared equals the left side.
This course is for anyone studying Trigonometry in A level pure mathematics in the UK or following UK syllubus.
In this course, you will learn all the necessary theorems required for the first year in just 2 hours’ time. This includes plenty of example questions and five exam style questions from past papers.
This course covers AS Level content based on new syllabus introduced in 2017.
This course lectures are prepared at the highest quality with clear figures and graphs as you see in the free preview videos.
The aim of this course is to teach you this chapter in the shortest possible time without compromising the quality and not leaving any topics.
More than 20 example questions (including five exam-style questions) are explained. Most of these questions are the same or similar to the past paper questions.
Topics to be covered in this course:
AS and Year 1 Trigonometric Syllabus. The syllabus is covering all the necessary topics to be tested by exam boards in the UK.
Trigonometric Identities – learn about the properties of triangles and right-angle triangles; trigonometric ratios; Sin, cos and tan; Proofs for Sine rule and Cosine rule; Area of triangle
Unit Circles and Trigonometric Ratios – learn about sine and cosine graphs
Solving Trigonometric Equations Using Graphs
Solving Trigonometric Equations Using CAST (Cosine-All-Sine-Tan) Diagram
Trigonometric Proofs – These proofs use example questions from past papers.